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An amount X is deposited into an account at time 0 that earns force of interest t=.05(1+.1t)1. The account balance at time 5 is $7000.

image text in transcribed An amount X is deposited into an account at time 0 that earns force of interest t=.05(1+.1t)1. The account balance at time 5 is $7000. a) Derive the accumulation function. b) Find the original investment amount X. Answer to the nearest cent. c) At what time will the account balance reach $10,000 ? Answer to 3 decimal places

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